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What is the equation of the line that passes
through the points (2,7) and (0, 6)?


Sagot :

Answer:

y = 1/2(x) + 6

Step-by-step explanation:

The slope-intercept equation of a line is y = mx + b, where y = y-coordinate, m = slope, x = x-coordinate, and b = y-intercept. In this case, so far, we're given the y-intercept as 6.

  • The equation looks like this now: y = mx + 6.

Next, to find the slope, we use the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] and plug in values of the two points.

  • [tex]\frac{6-7}{0-2}[/tex]
  • [tex]-1/-2[/tex]
  • [tex]1/2[/tex]
  • m = 1/2

Therefore, the equation is y = 1/2(x) + 6.

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